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We present a detailed analysis of the 3+1-split formalism of gravity in the presence of a cosmological constant. The formalism helps revealing the intimate connection between holography and the initial value formulation of gravity. We show…

High Energy Physics - Theory · Physics 2009-02-09 Diego S. Mansi , Anastasios C. Petkou , Giovanni Tagliabue

Einstein-Hilbert (EH) action can be separated into a bulk and a surface term, with a specific ("holographic") relationship between the two, so that either can be used to extract information about the other. The surface term can also be…

High Energy Physics - Theory · Physics 2008-11-26 A. Mukhopadhyay , T. Padmanabhan

We perform a holographic renormalization of cascading gauge theories. Specifically, we find the counter-terms that need to be added to the gravitational action of the backgrounds dual to the cascading theory of Klebanov and Tseytlin,…

High Energy Physics - Theory · Physics 2009-09-29 Ofer Aharony , Alex Buchel , Amos Yarom

We consider a very general dilaton-axion system coupled to Einstein-Hilbert gravity in arbitrary dimension and we carry out holographic renormalization for any dimension up to and including five dimensions. This is achieved by developing a…

High Energy Physics - Theory · Physics 2016-02-12 Ioannis Papadimitriou

We study the holographic complexity of Einstein-Maxwell-Dilaton gravity using the recently proposed "complexity = volume" and "complexity = action" dualities. The model we consider has a ground state that is represented in the bulk via a…

High Energy Physics - Theory · Physics 2018-10-17 Brian Swingle , Yixu Wang

Using the proposal for holographic entanglement entropy in higher derivative gravities, we compute holographic entanglement entropy for the conformal gravity in four dimensions which turns out to be finite. However, if one subtracts the…

High Energy Physics - Theory · Physics 2014-03-05 Mohsen Alishahiha , Amin Faraji Astaneh , M. Reza Mohammadi Mozaffar

We study stress tensor correlation functions in four-dimensional conformal field theories with large $N$ and a sparse spectrum. Theories in this class are expected to have local holographic duals, so effective field theory in anti-de Sitter…

High Energy Physics - Theory · Physics 2018-01-17 Nima Afkhami-Jeddi , Thomas Hartman , Sandipan Kundu , Amirhossein Tajdini

We derive and study the equations of motion of the Born-Infeld extension of New Massive Gravity for globally and asymptotically (anti-)de Sitter spaces, and show that the assumptions of the null-energy condition and holography (that bounds…

High Energy Physics - Theory · Physics 2011-01-06 Ibrahim Gullu , Tahsin Cagri Sisman , Bayram Tekin

We calculate the holographic central charges for general higher curvature gravity theory dual to eight dimensional CFT. To do this, we first elaborate the general form of Weyl anomaly in 8d CFT and find 11 non-trivial linearly independent…

High Energy Physics - Theory · Physics 2024-10-22 Fei-Yu Chen , H. Lu

In the context of $\rm AdS_3/CFT_2$, we investigate holographic correlators of the stress tensor of a conformal field theory (CFT) on a torus in this work. To calculate the correlators of the stress tensor, we employ the Einstein-Hilbert…

High Energy Physics - Theory · Physics 2023-07-05 Song He , Yi Li , Yun-Ze Li , Yunda Zhang

Einstein-Hilbert action and its natural generalizations to higher dimensions (like the Lanczos-Lovelock action) have certain peculiar features. All of them can be separated into a bulk and a surface term, with a specific ("holographic")…

General Relativity and Quantum Cosmology · Physics 2010-08-06 Sanved Kolekar , T. Padmanabhan

We work out the holographic dictionary for the three-dimensional Schr\"odinger spacetimes. The first step in our analysis involves the correct identification of the dual sources from the radial expansion of the bulk fields, which turns out…

High Energy Physics - Theory · Physics 2012-06-29 Balt C. van Rees

In this paper we compute the holographic two-point functions of four dimensional conformal gravity. Precisely we calculate the two-point functions for Energy- Momentum (EM) and Partially Massless Response (PMR) operators that have been…

High Energy Physics - Theory · Physics 2015-01-28 Ahmad Ghodsi , Behnoush Khavari , Ali Naseh

The asymptotic analysis for the metric of a generic solution of Einstein-Gauss-Bonnet AdS theory is provided by solving the field equations in the Fefferman-Graham frame. Using standard holographic renormalization, the counterterms that…

High Energy Physics - Theory · Physics 2026-02-09 Giorgos Anastasiou , Ignacio J. Araya , Avik Chakraborty , Cristóbal Corral , Rodrigo Olea

The problem of holographic thermalization in the framework of Einstein gravity coupled to Born-Infeld nonlinear electrodynamics is investigated. We use equal time two-point correlation functions and expectation values of Wilson loop…

High Energy Physics - Theory · Physics 2015-02-24 Giancarlo Camilo , Bertha Cuadros-Melgar , Elcio Abdalla

A general paradigm for describing classical (and semiclassical) gravity is presented. This approach brings to the centre-stage a holographic relationship between the bulk and surface terms in a general class of action functionals and…

General Relativity and Quantum Cosmology · Physics 2009-11-11 T. Padmanabhan

Extending the holographic program of [1], we derive f(R) gravity and the Maxwell equations from the holographic principle, using time-like holographic screen. We find that to derive the Einstein equations and f(R) gravity in a natural…

High Energy Physics - Theory · Physics 2011-02-22 Rong-Xin Miao , Jun Meng , Miao Li

We calculate the two-point function of the trace of the stress tensor in holographic renormalization group flows between pairs of conformal field theories. We show that the term proportional to the momentum squared in this correlator gives…

High Energy Physics - Theory · Physics 2016-04-19 Horacio Casini , Eduardo Teste , Gonzalo Torroba

We study 2-dimensional Logarithmic Galilean Conformal Algebra (LGCA) by making use of a contraction of Topologically Massive Gravity at critical point. We observe that using a naive contraction at the critical point fails to give a well…

High Energy Physics - Theory · Physics 2015-07-16 Ali Hosseiny , Ali Naseh

In three spacetime dimensions, we propose a generally covariant Lorentzian action of the classicalized holographic tensor network (cHTN) as the holographic reduction of the Einstein-Hilbert action of gravity in the presence of a negative…

High Energy Physics - Theory · Physics 2023-02-01 Eiji Konishi